Solution-:
4 x^2 +4x+1
we will factorize it
We see that we need two numbers , whose sum is 4 and product is 4
so those two numbers must be 2 and 2.So we will split middle term like 2x+2x we get
4x^2 +2x+2x+1
Now we will find the gcf of two groups
2x(2x+1)+1(2x+1)
=(2x+1)(2x+1) Answer.